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• W1877804544 abstract "Given a topological group $G$ and a unitary representation $U$ of $G$, we consider the problem of classifying the positive operator measures which are based on a $G$-homogeneous space $X$ and covariant with respect to the representation $U$. We completely solve the problem in two cases: 1) when $G$ is abelian; 2) when $G$ is not abelian, $X$ has compact stbiliser in $G$ and the representation $U$ is irreducible. We then give an application of the above results to the characterisation of covariant position and momentum observables in quantum mechanics, and to the determination of those covariant position and momentum observables that are jointly measurable." @default.
• W1877804544 created "2016-06-24" @default.
• W1877804544 creator A5053270966 @default.
• W1877804544 date "2005-05-30" @default.
• W1877804544 modified "2023-09-27" @default.
• W1877804544 title "Positive operator measures, generalised imprimitivity theorem, and their applications" @default.
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• W1877804544 hasPublicationYear "2005" @default.
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